Stress intensity factor analyses of interface cracks between dissimilar anisotropic materials using the finite element method

Ikeda, Tôru; Nagai, Masaki; Yamanaga, Koh; Miyazaki, Noriyuki

doi:10.1016/j.engfracmech.2006.01.040

Cited by 30 publications

(22 citation statements)

References 15 publications

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“…Fracture and catastrophic failure in polymeric structures Sankar & Lesser, 2006;) Interface cracks Failure in electronic packages and micro-electro-mechanical systems (MEMS) (Ikeda, Nagai, Yamanaga, & Miyazaki, 2006) Parallel cracks Fracture in functional gradient materials (FGM) (Yang, 2009) Short cracks and micro-cracks Fracture in bones (Lakes, Nakamura, Behiri, & Bonfield, 1990;Mischinski & Mural, 2011;Ural, Zioupos, Buchanan, & Vashishth, 2011) Crack interaction intensity exist in the form of stress shielding and amplification. The failure mechanism by cracks interaction may occurs under brittle, plastic and creep failure.…”

Section: Edge Cracksmentioning

confidence: 99%

Interacting Cracks Analysis Using Finite Element Method

Daud¹,

Ariffin²,

Abdullah³

et al. 2012

Applied Fracture Mechanics

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Section: Edge Cracksmentioning

confidence: 99%

Interacting Cracks Analysis Using Finite Element Method

Daud¹,

Ariffin²,

Abdullah³

et al. 2012

Applied Fracture Mechanics

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“…In addition to increasing applications for the analysis composites [5][6][7], cracking has recently been investigated in conjunction with microelectronics [8][9][10][11], and piezoelectric bimaterials [12] as well as thin film interfaces [13]. Also, cracks that develop at the fiber-matrix interface in composites [14].…”

Section: Introductionmentioning

confidence: 99%

Fracture Mechanics Analyses for Interface Crack Problems - A Review

Krueger

Shivakumar

Raju

2013

54th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics, and Materials Conference

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Recent developments in fracture mechanics analyses of the interfacial crack problem are reviewed. The intent of the review is to renew the awareness of the oscillatory singularity at the crack tip of a bimaterial interface and the problems that occur when calculating mode mixity using numerical methods such as the finite element method in conjunction with the virtual crack closure technique. Established approaches to overcome the nonconvergence issue of the individual mode strain energy release rates are reviewed. In the recent literature many attempts to overcome the nonconvergence issue have been developed. Among the many approaches found only a few methods hold the promise of providing practical solutions. These are the resin interlayer method, the method that chooses the crack tip element size greater than the oscillation zone, the crack tip element method that is based on plate theory and the crack surface displacement extrapolation method. Each of the methods is validated on a very limited set of simple interface crack problems. However, their utility for a wide range of interfacial crack problems is yet to be established.

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“…However, the complexity of analytical solutions even for simple cases requires the modelling of mechanical behavior of this problem using effective numerical methods. Several investigations have been developed in this domain, via the boundary element method (BEM) (Lee and Choi, 1988;Yuuki and Xu, 1994;Miyazaki et al, 1993), finite element method (FEM) (Ikeda et al, 2006), element free Galerkin method (EFGM) (Pant et al, 2011), extended finite element method (XFEM) (Nagashima et al, 2003;Liu et al, 2004;Belytschko and Gracie, 2007) and other methods (Zhou et al, 2013(Zhou et al, , 2014An et al, 2013). Recently, a large field was opened by Hughes et al (2005) offering the possibility of introducing computer aided design (CAD) tools in the analysis methods using the isoparametric concept.…”

Section: Introductionmentioning

confidence: 99%

Crack analysis in bimaterial interfaces using T-spline based XIGA

Habib

Belaidi

2017

jtam

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Analysis-suitable T-splines are used for the modeling and analyzing of cracks in bimaterial interfaces within the framework of an extended isogeometric analysis (XIGA). The crack tip enrichment functions of bimaterial interface cracks are implemented to reproduce singular fields, and the signed distance functions are used to treat the crack face and the interface in the models. A compatible local refinement algorithm is applied to refine location of the crack and the interface, which helps one to avoid produce excessive propagation of control points. The mixed mode stress intensity factors (SIFs) which are evaluated by the interaction integral (M-integral) are used as analysis parameters. Numerical simulations are performed to analyze the problem and to examine the efficiency of the proposed method. The obtained results are compared with other available results.

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Stress intensity factor analyses of interface cracks between dissimilar anisotropic materials using the finite element method

Cited by 30 publications

References 15 publications

Interacting Cracks Analysis Using Finite Element Method

Interacting Cracks Analysis Using Finite Element Method

Fracture Mechanics Analyses for Interface Crack Problems - A Review

Crack analysis in bimaterial interfaces using T-spline based XIGA

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